English

Unbounded Order Convergence and Universal Completions

Functional Analysis 2019-06-03 v1

Abstract

We characterize vector lattices in which unbounded order convergence is eventually order bounded. Among other things, the characterization provides a solution to \cite[Probl.23]{Az}.

Keywords

Cite

@article{arxiv.1905.13583,
  title  = {Unbounded Order Convergence and Universal Completions},
  author = {E. Y. Emelyanov and S. G. Gorokhova},
  journal= {arXiv preprint arXiv:1905.13583},
  year   = {2019}
}

Comments

It is a part of a project an it could be included to one/two papers

R2 v1 2026-06-23T09:35:11.778Z